refactor: remove API v1 responses exception captures

[jfcalvo]

Description

This PR remove all exception capture blocks for API v1 responses handler.

Refs #4871

Type of change

(Please delete options that are not relevant. Remember to title the PR according to the type of change)

• [ ] Bug fix (non-breaking change which fixes an issue)
• [ ] New feature (non-breaking change which adds functionality)
• [ ] Breaking change (fix or feature that would cause existing functionality to not work as expected)
• [x] Refactor (change restructuring the codebase without changing functionality)
• [ ] Improvement (change adding some improvement to an existing functionality)
• [ ] Documentation update

How Has This Been Tested

(Please describe the tests that you ran to verify your changes. And ideally, reference tests)

• [x] Improving and passing existent tests.

Checklist

• [ ] I added relevant documentation
• [ ] follows the style guidelines of this project
• [ ] I did a self-review of my code
• [ ] I made corresponding changes to the documentation
• [ ] My changes generate no new warnings
• [ ] I have added tests that prove my fix is effective or that my feature works
• [ ] I filled out the contributor form (see text above)
• [ ] I have added relevant notes to the CHANGELOG.md file (See https://keepachangelog.com/)